8432772348 has 384 divisors, whose sum is σ = 27897053184. Its totient is φ = 1910937600.

The previous prime is 8432772343. The next prime is 8432772367.

8432772348 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8432772348² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8432772297 and 8432772306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8432772343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36192040 + ... + 36192272.

It is an arithmetic number, because the mean of its divisors is an integer number (72648576).

Almost surely, 2^8432772348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8432772348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13948526592).

8432772348 is an abundant number, since it is smaller than the sum of its proper divisors (19464280836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8432772348 is a wasteful number, since it uses less digits than its factorization.

8432772348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 423 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 48.

The square root of 8432772348 is about 91830.1276706071. The cubic root of 8432772348 is about 2035.4329096484.

The spelling of 8432772348 in words is "eight billion, four hundred thirty-two million, seven hundred seventy-two thousand, three hundred forty-eight".